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What is the second term of (x+3)^9???
A. x^9
B. 3x^9
C. 9x^8
D. 27x^8

User Horen
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2 Answers

4 votes

its D, just took the test

User Neerkoli
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7 votes

Answer:

D. 27x^8

Explanation:

what is the second term of (x+3)^9???

A. x^9

B. 3x^9

C. 9x^8

D. 27x^8

this expansion can be solved using pascal triangle or

the binomial expansion can be designated with the formula usin combination rule.

n=number of terms


^(n) c_(r) P^(r) Q^(n-r)

let n=9

r=0

P=x

Q=3

P decreases n value while Q increases

n!/(n-r)!*r!

for the first term

9!/(9-0)!0! *x^9*3^0

for the second term

9!/(9-1)!1! *x^8*3^1

9*x^8*3

D. 27x^8

User Functionaldude
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6.5k points